Orbital magnetism of coupled bands models
arXiv:1411.5940 · doi:10.1103/PhysRevB.91.085120
Abstract
We develop a gauge-independent perturbation theory for the grand potential of itinerant electrons in two-dimensional tight-binding models in the presence of a perpendicular magnetic field. At first order in the field, we recover the result of the so-called {\it modern theory of orbital magnetization} and, at second order, deduce a new general formula for the orbital susceptibility. In the special case of two coupled bands, we relate the susceptibility to geometrical quantities such as the Berry curvature. Our results are applied to several two-band -- either gapless or gapped -- systems. We point out some surprising features in the orbital susceptibility -- such as in-gap diamagnetism or parabolic band edge paramagnetism -- coming from interband coupling. From that we draw general conclusions on the orbital magnetism of itinerant electrons in multi-band tight-binding models.
18 pages, 9 figures
References in corpus (11)
- Electric Field Effect in Atomically Thin Carbon Films
- The electronic properties of graphene
- Orbital magnetization in periodic insulators
- Limits on intrinsic magnetism in graphene
- Merging of Dirac points in a two-dimensional crystal
- Orbital diamagnetism in multilayer graphenes: Systematic study with the effective mass approximation
- A new magnetic field dependence of Landau levels on a graphene like structure
- Anomalous Orbital Magnetism and Hall Effect of Massless Fermions in Two Dimension
- Orbital Magnetism and Transport Phenomena in Two Dimensional Dirac Fermions in Weak Magnetic Field
- Orbital magnetization of correlated electrons with arbitrary band topology
- Local Diamagnetic Susceptibility of Quasi-Two-Dimensional Graphite
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